Answer:
72
The result is rational because it can be written as the ratio of two integers and its decimal expansion can terminate or repeat.
Answered by GAUTHMATH
Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle of apple juice. Due to the nature of the process and contractual agreements, Calvin’s facility must make and sell three jars of applesauce for every two bottles of apple juice. A jar of applesauce sells for $2. 20, and a bottle of apple juice sells for $3. 15. If the facility has annual overhead costs of $368,500, not including production costs, how many bottles of apple juice will the facility have sold when it breaks even every year? Round to the nearest whole bottle, if necessary. A. 38,789 b. 77,579 c. 116,368 d. 167,500.
The number of bottles the facility requires to sell when it breaks is given by
a system of two simultaneous equations.
When the facility breaks even, it would have sold 77,579 bottles of apples juice.Reasons:
The cost to make a jar of applesauce or a bottle of apple juice = $0.68
Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars
The selling price for a jar of applesauce = $2.20
Selling price for a bottle of apple juice = $3.15
Annual overhead cost excluding production cost = $368,500
Required: Number of bottles of apple juice sold by the facility when it breaks even annually.
Solution:
Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;
(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500
S : J = 3 : 2
Which gives;
[tex]\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}[/tex]
[tex]\displaystyle S= \frac{3}{2} \cdot J[/tex]
Therefore;
[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}[/tex]
Which gives;
[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500[/tex]
[tex]\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579[/tex]
The number of bottles of apple juice sold, J ≈ 77,579 bottles
Learn more about simultaneous equations here:
https://brainly.com/question/10724274
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
i think its b
Step-by-step explanation:
What is the answer to 27 · 64?
Answer:
1728
Step-by-step explanation:
27
64
-----------
108
1620
1728
Answer:
1728
Step-by-step explanation:
27•64= 0108+162 =1728
fill in the table of values for y=2x+3
Answer:
2 4 2 y-3
•
•
•
•
•
Yan po answer
Part C
Does this curved line represent a function? If not, at what points does it fall the vertical line test?
Answer:
it is a function because it doesn't have multiple y values for each x value
The ratio of the interior angle measures of a triangle is 1:4:5 what are the angle measures?
Answer:
18° , 72° , & 90°
Step-by-step explanation:
First, set all 3 numbers in the ratio given and multiply it by 'x', then set it equal to 180° because all angles in a triangle add up to 180°
The equation will be:
1x + 4x + 5x = 180°
10x = 180°
divide both sides by 10 to get 1x on the left side:
[tex]\frac{10x}{10} =\frac{180}{10}[/tex]
x = 18
Then plug 18 in, instead of 'x', similar to in the first step:
1(18) = 18°
4(18) = 72°
5(18) = 90°
What does 100+100-200+90+20=
Answer:
110
Step-by-step explanation:
-8y + 1 = -9y. solve for y.
i suck at this stuff
pls help asap
ty <3
Answer:
12*2=24
Step-by-step explanation:
What is the slope of the line
Answer:
Slope: 1/2
Step-by-step explanation:
Look at the file.
Pete sold 320 boxes of donuts with a dozen in each box. How many donuts did he sale in all?
Im not in highschool im in 5th grade btw
PLEASE HELP!!
Answer:
3840
Step-by-step explanation:
320 boxes; 12 donuts in each box
This is a multiplication problem.
320 × 12 = 3840
Answer: 3840
Which is the most popular shoe brand is it Experimental or Observational
Answer:
hear is ur answer....
Step-by-step explanation:
Observation market research is a technique which involves directly observing consumers or another target audience in their natural environment - for instance, watching how shoppers stop outside a fashion retailer, what they are drawn to in a window display and which direction they go after entering the store.
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What is the shape of the cross-section resulting from the cut?.
The shape of the cross-section resulting from the cut is Rhombus.
Given that,
All the edges of the object in the diagram are equal in length.
The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
We have to determine,
What is the shape of the cross-section resulting from the cut?
According to the question,
All the edges of the object in the diagram are equal in length.
The length of all edges is equal in the rhombus.
The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
When the midpoints of all the four sides of a rhombus are joined with each other, you will obtain a rectangle whose length and width will measure half of the value of the prime diagonal.
Moreover, the area of the rectangle formed in this case will be half of the rhombus.
Hence, The shape of the cross-section resulting from the cut is Rhombus.
For more details refer to the link given below.
https://brainly.com/question/18660021
Answer: C. A rhombus
Step-by-step explanation:
write an equation for the line that gose through the points (-2,6) and (2, 12)
Answer:
y = [tex]\frac{3}{2}[/tex] x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )
m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (2, 12 ) , then
12 = 3 + c ⇒ c = 12 - 3 = 9
y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line
Which system of equations is equivalent to the following system? 3x 5y = 29 x 4y = 16 3x 5y = 29 â’x â’ 4y = 16 3x 5y = 29 â’3x â’ 12y = â’48 â’3x â’ 5y = 29 x 4y = 16 â’9x â’ 15y = 87 x 4y = 16.
The correct option is (B). [tex]3x+5y=29[/tex] And [tex]-3x-12y=-48[/tex].
Given Equations,
[tex]3x + 5y = 29......(1)[/tex]
[tex]x + 4y = 16.......(2)[/tex]
We have to find out Which system of equations is equivalent to the Given system of Equations.
1). System of equation are,
[tex]3x+5y=29\\-x-4y=16[/tex]
taking - common and transposing to R.H.S we get,
[tex]x+4y=-16[/tex]
This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.
Similarly, on checking other options,
2. system of equation,
[tex]3x+5y=29\\-3x-12y=-48[/tex]
Taking -3 common from L.H.S. we get,
[tex]-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}[/tex]
[tex]x+4y=16[/tex].
Hence the Above system of equation is equivalent to the given system of equation.
So, there is no need to check option (3) and option (4).
Hence the correct option is (B).
For more details on Equations follow the link:
https://brainly.com/question/11897796
PLZ HELP
A shipwreck is 300 meters away from a diving station. An undersea explorer travels away from the station at a speed of 2 meters per second. The explorer is x meters away from the station and will reach the shipwreck in 100 seconds. What is the value of x?
Answer:
x=100
Step-by-step explanation:
2x + 100 = 300
-100 -100
---------------------
2x = 200
---- -----
2 2
x=100
Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
Answer:
12-4√5
Step-by-step explanation:
(√10-√2)²
(√10-√2)(√10-√2)
Foil/distribute
10-√20-√20+2
12-2√20
12-2√4*√5
12-2*2√5
12-4√5
On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.
Algebraic identities are expansion of powers of algebraic expressions.
One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
Given the question,
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]
Given the form, [tex]b - c\sqrt{5}[/tex],
On comparison,
b = 12
c = 4
Learn more about algebraic identities here
https://brainly.com/question/28853516
#SPJ2
help pls the image below represents ____
Answer:
I think it's a Box Plot, hope this helps
Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?
Answer:
a box of 10 balls for $9?
Step-by-step explanation:
because u buy 10 tennis balls for 9 dollars and the first one is not true
becuase u buy 3 balls of tennis with 3 dollars and the last answer is right
becuase you buy 10 balls for 9 that means its 1 dollar less for 10 balls
hope it helps
7+4(r+3)=9r-6
show work pls AND HELP ASAP
[tex] \: \: \: \: \: \: [/tex]
[tex] = \: \: \: \: r = 5[/tex]
Step-by-step explanation:
[tex]7 + 4(r + 3) = 9r - 6[/tex]
distribute 4 through the parentheses[tex]7 + 4r + 12 = 9r - 6[/tex]
add numbers[tex]19 + 4r = 9r - 6[/tex]
move the variable to the left hand side and change its sign[tex]19 + 9r = - 6[/tex]
move the constant to the right hand side and change its sign[tex]4r - 9 = - 6 - 19[/tex]
collect like terms[tex] - 5r = - 6 - 19[/tex]
calculate the difference[tex] - 5r = - 25[/tex]
divide both sides of the equation by -5[tex] = \: \: \: \: r = 5[/tex]
hope it helpsIdentify the domain of the exponential function shown in the following graph :
Answer:
The domain of this exponential function is (all real numbers).
Step-by-step explanation:
The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.
I hope this helps!
Answer plz answer !!!
Answer:
B
Step-by-step explanation:
1/4 yard long, area is 1/3 and we have to find the width so:
1/3(area) divided by 1/49(length) would get you your width
Christian buys a two-gallon bottle of juice for $18.16.
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounce
How many fluid ounces of juice did Christian buy?
Answer:
256 fluid ounces
Step-by-step explanation:
2 gallons = 8 quarts
8 quarts = 16 pints
16 pints = 32 cups
32 cups = 256 fluid ounces
Algebra 2 How many Real solutions does the equation have? X-1 squared = x-4
The solutions are where the lines cross each other.
The lines only cross each other once so there is 1 real solution.
Answer: 1
a) work out the size of angle x.
b) give reasons for your answer.
Answer:
x=30
Step-by-step explanation:
105 is also the same as angle b which is also the same as the angle opposite.
so
150+150=300
360-300=60
60/2=30
hope that helps.
plz mark as brainliest if correct
thank you
Answer:
x=75°
Step-by-step explanation:
the angle that is 105° and the angle that is x makes a co interior angle.
the two angles belonging to that co interior angle will always add up to 180°.
so in this case, 180° - 105° = x
answer = x=75°
If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not
Answer:
Because it can't be written as a Ratio of two integers
HELP!! WITH MATH- Percent increase and decrease!! CHECK THE PHOTO! (I’LL GIVE BRAINLIEST TO THE RIGHT ANSWERS)
Answer: 1. 24
2. 32
3. 22
4. 16
5. 14
6. 34
7. 44
8. 30
9. 24
10. 50
Step-by-step explanation: ive spent lots of time for these and all of them are correct. pls give brainliest
Graph 7x+y=10x-4.
Show your work and explain the method used to determine the graph.
The graph must pass through the y-axis at y = -4 with a positive slope of 3
Given the expression
7x+y=10x-4.Write the given equation in standard form to have:
7x+y=10x-4.
y = 10x - 7x - 4
y = 3x - 4
From the equation, the slope is 3 and the y-intercept is -4
The graph must pass through the y-axis at y = -4 with a positive slope of 3.
Learn more on equation of a line here: https://brainly.com/question/13763238
The diameter of the sun is about is about 1 390 000 km;
use scientific
notation to represent this diameter.
Answer:
1.39×10^6
Step-by-step explanation:
Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use
B1
F
Ayesha plays hockey.
Last year Ayesha scored 8 goals.
This year Ayesha scored 13 goals.
Calculate the percentage increase
in for the number of goals
scored.
Answer:
60% Increase
Step-by-step explanation:
Ayesha scored 5 more goals over her previous goal count of 8. That means:
(5/8) = 0.60 or 60% increase.
A 60% increase means a factor of 1.6 (1 + 0.6)
(8 goals)*(1.6) = 13 goals
Answer:
13 _18= 5
5/13×100%=38.46%